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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 574 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.Manav has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 8(x + 6) = 4x + 52. What is x?
  3. 3.I think of a number, multiply it by 6 and then add 11. The answer is 125. What is my number?
  4. 4.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 9(x + 1) = 4x + 39. What is x?
  7. 7.I think of a number, multiply it by 3 and then add 19. The answer is 64. What is my number?
  8. 8.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 4(x + 1) = x + 10. What is x?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 5 and then add 12. The answer is 22. What is my number?
  13. 13.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 9 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  16. 16.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 9(x + 2) = 2x + 39. What is x?
  18. 18.Solve for x: 4(x + 4) = 3x + 29. What is x?
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  20. 20.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹13 more than a pencil. 4 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  23. 23.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 8 and then take away 40. The answer is 88. What is my number?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 8 and then take away 7. The answer is 233. What is my number?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  28. 28.6 × ? − 28 = 122
  29. 29.I think of a number, multiply it by 4 and then add 23. The answer is 99. What is my number?
  30. 30.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  31. 31.10 × ? − 16 = 24
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 5 and then take away 10. The answer is 80. What is my number?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  36. 36.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  37. 37.11 × ? + 7 = 282
  38. 38.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  40. 40.Kabir has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?

Answer key

  1. 10
  2. 1
  3. 19
  4. 2
  5. 20
  6. 6
  7. 15
  8. 10
  9. 2
  10. 13
  11. 4
  12. 2
  13. 17
  14. 14
  15. 17
  16. 19
  17. 3
  18. 13
  19. 21
  20. 14
  21. 11
  22. 9
  23. 4
  24. 16
  25. 19
  26. 30
  27. 20
  28. 25
  29. 19
  30. 7
  31. 4
  32. 7
  33. 28
  34. 18
  35. 6
  36. 2
  37. 25
  38. 7
  39. 20
  40. 21

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